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The simplified form of tan ^(-1) (( sqrt...

The simplified form of `tan ^(-1) (( sqrt (1 - x ^(2)))/(x )) ` is :

A

`sin ^(-1)x`

B

`cos ^(-1) x `

C

`sec ^(-1)x `

D

`"cosec" ^(-1) x `

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Knowledge Check

  • If: tan^(-1) ((sqrt(1 + x^2)-1)/(x)) = 4 then : x =

    A
    `tan 2`
    B
    `tan 4`
    C
    `tan (1/4)`
    D
    `tan 8`

  • If tan^(-1)(sqrt(1+x^(2))-1)/x=4 then x=

    A
    tan 2
    B
    tan 4
    C
    tan (1/4)
    D
    tan 8

  • tan^(-1)[x/sqrt(a^(2)-x^(2))]=

    A
    `1/a.sin^(-1)(x/a)`
    B
    `a.sin^(-1)(x/a)`
    C
    `sin^(-1)(x/a)`
    D
    `sin^(-1)(a/x)`

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    Find the simplified value of-: tan^-1(1/(sqrt(x^2-1)))

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    Find the simplified value of- tan^-1(sqrt(1+x^2)+x)

    Write the following function in the simplest form: tan^(-1)((sqrt(1+x^(2))-1)/(x)),x!=0

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